Respuesta :

Answer:

We get value p=16

Step-by-step explanation:

When triangles are similar, the ratio of corresponding sides is equal.

In the given triangles we have to find value of p

We have the ratio: (Can use ratio of any two sides)

[tex]\frac{HF}{PD} =\frac{GF}{ED}[/tex]

Now, putting values and finding p

[tex]\frac{12}{p}=\frac{24}{32}\\Cross\:Multiply\\12\times 32 = 24 p\\p=\frac{384}{24}\\p= 16[/tex]

So, we get value p=16